Transitive circle exchange transformations with flips

Gutierrez Carlos; Lloyd Simon; Medvedev Vladislav; Pires Benito; Zhuzhoma Evgeny

doi:10.3934/dcds.2010.26.251

Transitive circle exchange transformations with flips

Gutierrez Carlos^*
, Lloyd Simon
, Medvedev Vladislav
, Pires Benito
, Zhuzhoma Evgeny

^*Corresponding author for this work

Universidade de São Paulo
University of New South Wales
Lobachevsky State University of Nizhni Novgorod
Minin Nizhny Novgorod State Pedagogical University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We study the existence of transitive exchange transformations with flips defined on the unit circle S¹. We provide a complete answer to the question of whether there exists a transitive exchange transformation of S ¹ defined on n subintervals and having f flips.

Original language	English
Pages (from-to)	251-263
Number of pages	13
Journal	Discrete and Continuous Dynamical Systems
Volume	26
Issue number	1
DOIs	https://doi.org/10.3934/dcds.2010.26.251
Publication status	Published - Jan 2010
Externally published	Yes

Keywords

Interval exchange transformation
Orientation reversing
Rauzy induction

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10.3934/dcds.2010.26.251

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title = "Transitive circle exchange transformations with flips",

abstract = "We study the existence of transitive exchange transformations with flips defined on the unit circle S1. We provide a complete answer to the question of whether there exists a transitive exchange transformation of S 1 defined on n subintervals and having f flips.",

keywords = "Interval exchange transformation, Orientation reversing, Rauzy induction",

author = "Gutierrez Carlos and Lloyd Simon and Medvedev Vladislav and Pires Benito and Zhuzhoma Evgeny",

year = "2010",

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doi = "10.3934/dcds.2010.26.251",

language = "English",

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AU - Carlos, Gutierrez

AU - Simon, Lloyd

AU - Vladislav, Medvedev

AU - Benito, Pires

AU - Evgeny, Zhuzhoma

PY - 2010/1

Y1 - 2010/1

N2 - We study the existence of transitive exchange transformations with flips defined on the unit circle S1. We provide a complete answer to the question of whether there exists a transitive exchange transformation of S 1 defined on n subintervals and having f flips.

AB - We study the existence of transitive exchange transformations with flips defined on the unit circle S1. We provide a complete answer to the question of whether there exists a transitive exchange transformation of S 1 defined on n subintervals and having f flips.

KW - Interval exchange transformation

KW - Orientation reversing

KW - Rauzy induction

UR - https://www.scopus.com/pages/publications/76749125801

U2 - 10.3934/dcds.2010.26.251

DO - 10.3934/dcds.2010.26.251

M3 - Article

AN - SCOPUS:76749125801

SN - 1078-0947

VL - 26

SP - 251

EP - 263

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 1

ER -

Transitive circle exchange transformations with flips

Abstract

Keywords

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